91809792000 has 720 divisors, whose sum is σ = 351661210992. Its totient is φ = 22963814400.

The previous prime is 91809791999. The next prime is 91809792037. The reversal of 91809792000 is 29790819.

It can be written as a sum of positive squares in 8 ways, for example, as 3015327744 + 88794464256 = 54912^2 + 297984^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313343854 + ... + 313344146.

Almost surely, 2^91809792000 is an apocalyptic number.

91809792000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91809792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175830605496).

91809792000 is an abundant number, since it is smaller than the sum of its proper divisors (259851418992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91809792000 is a wasteful number, since it uses less digits than its factorization.

91809792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 91809792000 in words is "ninety-one billion, eight hundred nine million, seven hundred ninety-two thousand".